TSTP Solution File: SET714+4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET714+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:21:58 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (   9 unt;   0 def)
%            Number of atoms       :  237 (   7 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  276 (  90   ~;  78   |;  71   &)
%                                         (  12 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-5 aty)
%            Number of variables   :  216 ( 188   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f109,plain,
    $false,
    inference(subsumption_resolution,[],[f105,f106]) ).

fof(f106,plain,
    ~ apply(inverse_function(sK6,sK5,sK4),sK3(sK4,sK6,sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),
    inference(unit_resulting_resolution,[],[f96,f96,f97,f98,f99,f85]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ apply(X4,X7,X3)
      | apply(compose_function(X4,X1,X2,X5,X0),X6,X3)
      | ~ apply(X1,X6,X7)
      | ~ member(X7,X5)
      | ~ member(X6,X2)
      | ~ member(X3,X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X6,X2)
      | ( ( apply(compose_function(X4,X1,X2,X5,X0),X6,X3)
          | ! [X7] :
              ( ~ apply(X4,X7,X3)
              | ~ member(X7,X5)
              | ~ apply(X1,X6,X7) ) )
        & ( ( apply(X4,sK1(X1,X3,X4,X5,X6),X3)
            & member(sK1(X1,X3,X4,X5,X6),X5)
            & apply(X1,X6,sK1(X1,X3,X4,X5,X6)) )
          | ~ apply(compose_function(X4,X1,X2,X5,X0),X6,X3) ) )
      | ~ member(X3,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f64,f65]) ).

fof(f65,plain,
    ! [X1,X3,X4,X5,X6] :
      ( ? [X8] :
          ( apply(X4,X8,X3)
          & member(X8,X5)
          & apply(X1,X6,X8) )
     => ( apply(X4,sK1(X1,X3,X4,X5,X6),X3)
        & member(sK1(X1,X3,X4,X5,X6),X5)
        & apply(X1,X6,sK1(X1,X3,X4,X5,X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ member(X6,X2)
      | ( ( apply(compose_function(X4,X1,X2,X5,X0),X6,X3)
          | ! [X7] :
              ( ~ apply(X4,X7,X3)
              | ~ member(X7,X5)
              | ~ apply(X1,X6,X7) ) )
        & ( ? [X8] :
              ( apply(X4,X8,X3)
              & member(X8,X5)
              & apply(X1,X6,X8) )
          | ~ apply(compose_function(X4,X1,X2,X5,X0),X6,X3) ) )
      | ~ member(X3,X0) ),
    inference(rectify,[],[f63]) ).

fof(f63,plain,
    ! [X4,X6,X1,X5,X2,X0,X3] :
      ( ~ member(X3,X1)
      | ( ( apply(compose_function(X2,X6,X1,X0,X4),X3,X5)
          | ! [X7] :
              ( ~ apply(X2,X7,X5)
              | ~ member(X7,X0)
              | ~ apply(X6,X3,X7) ) )
        & ( ? [X7] :
              ( apply(X2,X7,X5)
              & member(X7,X0)
              & apply(X6,X3,X7) )
          | ~ apply(compose_function(X2,X6,X1,X0,X4),X3,X5) ) )
      | ~ member(X5,X4) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X4,X6,X1,X5,X2,X0,X3] :
      ( ~ member(X3,X1)
      | ( apply(compose_function(X2,X6,X1,X0,X4),X3,X5)
      <=> ? [X7] :
            ( apply(X2,X7,X5)
            & member(X7,X0)
            & apply(X6,X3,X7) ) )
      | ~ member(X5,X4) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X6,X4,X0,X2,X3,X5,X1] :
      ( ( apply(compose_function(X2,X6,X1,X0,X4),X3,X5)
      <=> ? [X7] :
            ( apply(X2,X7,X5)
            & member(X7,X0)
            & apply(X6,X3,X7) ) )
      | ~ member(X3,X1)
      | ~ member(X5,X4) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X6,X4,X0,X2,X3,X5,X1] :
      ( ( member(X3,X1)
        & member(X5,X4) )
     => ( apply(compose_function(X2,X6,X1,X0,X4),X3,X5)
      <=> ? [X7] :
            ( apply(X2,X7,X5)
            & member(X7,X0)
            & apply(X6,X3,X7) ) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X0,X9,X2,X10,X11,X5] :
      ( ( member(X2,X0)
        & member(X11,X10) )
     => ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
      <=> ? [X4] :
            ( apply(X5,X2,X4)
            & apply(X9,X4,X11)
            & member(X4,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).

fof(f99,plain,
    apply(sK6,sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5)),sK3(sK4,sK6,sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5)))),
    inference(unit_resulting_resolution,[],[f92,f96,f89]) ).

fof(f89,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X2,X0,X1)
      | ~ member(X6,X0)
      | apply(X2,X6,sK3(X1,X2,X6)) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X5,X1)
            | ~ member(X4,X0)
            | ~ member(X3,X1)
            | ~ apply(X2,X4,X5)
            | X3 = X5
            | ~ apply(X2,X4,X3) )
        & ! [X6] :
            ( ~ member(X6,X0)
            | ( apply(X2,X6,sK3(X1,X2,X6))
              & member(sK3(X1,X2,X6),X1) ) ) )
      | ~ maps(X2,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f69,f70]) ).

fof(f70,plain,
    ! [X1,X2,X6] :
      ( ? [X7] :
          ( apply(X2,X6,X7)
          & member(X7,X1) )
     => ( apply(X2,X6,sK3(X1,X2,X6))
        & member(sK3(X1,X2,X6),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3,X4,X5] :
            ( ~ member(X5,X1)
            | ~ member(X4,X0)
            | ~ member(X3,X1)
            | ~ apply(X2,X4,X5)
            | X3 = X5
            | ~ apply(X2,X4,X3) )
        & ! [X6] :
            ( ~ member(X6,X0)
            | ? [X7] :
                ( apply(X2,X6,X7)
                & member(X7,X1) ) ) )
      | ~ maps(X2,X0,X1) ),
    inference(rectify,[],[f49]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ( ! [X5,X7,X6] :
            ( ~ member(X6,X0)
            | ~ member(X7,X2)
            | ~ member(X5,X0)
            | ~ apply(X1,X7,X6)
            | X5 = X6
            | ~ apply(X1,X7,X5) )
        & ! [X3] :
            ( ~ member(X3,X2)
            | ? [X4] :
                ( apply(X1,X3,X4)
                & member(X4,X0) ) ) )
      | ~ maps(X1,X2,X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( ~ member(X3,X2)
            | ? [X4] :
                ( apply(X1,X3,X4)
                & member(X4,X0) ) )
        & ! [X6,X5,X7] :
            ( X5 = X6
            | ~ apply(X1,X7,X6)
            | ~ apply(X1,X7,X5)
            | ~ member(X5,X0)
            | ~ member(X7,X2)
            | ~ member(X6,X0) ) )
      | ~ maps(X1,X2,X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X1,X2,X0] :
      ( maps(X1,X2,X0)
     => ( ! [X3] :
            ( member(X3,X2)
           => ? [X4] :
                ( apply(X1,X3,X4)
                & member(X4,X0) ) )
        & ! [X6,X5,X7] :
            ( ( member(X5,X0)
              & member(X7,X2)
              & member(X6,X0) )
           => ( ( apply(X1,X7,X6)
                & apply(X1,X7,X5) )
             => X5 = X6 ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( member(X3,X2)
           => ? [X4] :
                ( apply(X1,X3,X4)
                & member(X4,X0) ) )
        & ! [X6,X5,X7] :
            ( ( member(X5,X0)
              & member(X7,X2)
              & member(X6,X0) )
           => ( ( apply(X1,X7,X6)
                & apply(X1,X7,X5) )
             => X5 = X6 ) ) )
    <=> maps(X1,X2,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X1,X5,X0] :
      ( maps(X5,X0,X1)
    <=> ( ! [X2] :
            ( member(X2,X0)
           => ? [X4] :
                ( apply(X5,X2,X4)
                & member(X4,X1) ) )
        & ! [X6,X7,X2] :
            ( ( member(X7,X1)
              & member(X2,X0)
              & member(X6,X1) )
           => ( ( apply(X5,X2,X7)
                & apply(X5,X2,X6) )
             => X6 = X7 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).

fof(f92,plain,
    maps(sK6,sK5,sK4),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( ~ identity(compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5),sK5)
    & maps(sK6,sK5,sK4)
    & one_to_one(sK6,sK5,sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f72,f73]) ).

fof(f73,plain,
    ( ? [X0,X1,X2] :
        ( ~ identity(compose_function(inverse_function(X2,X1,X0),X2,X1,X0,X1),X1)
        & maps(X2,X1,X0)
        & one_to_one(X2,X1,X0) )
   => ( ~ identity(compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5),sK5)
      & maps(sK6,sK5,sK4)
      & one_to_one(sK6,sK5,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ? [X0,X1,X2] :
      ( ~ identity(compose_function(inverse_function(X2,X1,X0),X2,X1,X0,X1),X1)
      & maps(X2,X1,X0)
      & one_to_one(X2,X1,X0) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ? [X1,X2,X0] :
      ( ~ identity(compose_function(inverse_function(X0,X2,X1),X0,X2,X1,X2),X2)
      & maps(X0,X2,X1)
      & one_to_one(X0,X2,X1) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ? [X2,X1,X0] :
      ( ~ identity(compose_function(inverse_function(X0,X2,X1),X0,X2,X1,X2),X2)
      & maps(X0,X2,X1)
      & one_to_one(X0,X2,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ! [X2,X1,X0] :
        ( ( maps(X0,X2,X1)
          & one_to_one(X0,X2,X1) )
       => identity(compose_function(inverse_function(X0,X2,X1),X0,X2,X1,X2),X2) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ! [X5,X1,X0] :
        ( ( one_to_one(X5,X0,X1)
          & maps(X5,X0,X1) )
       => identity(compose_function(inverse_function(X5,X0,X1),X5,X0,X1,X0),X0) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ! [X5,X1,X0] :
      ( ( one_to_one(X5,X0,X1)
        & maps(X5,X0,X1) )
     => identity(compose_function(inverse_function(X5,X0,X1),X5,X0,X1,X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII05) ).

fof(f98,plain,
    member(sK3(sK4,sK6,sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),sK4),
    inference(unit_resulting_resolution,[],[f92,f96,f88]) ).

fof(f88,plain,
    ! [X2,X0,X1,X6] :
      ( ~ maps(X2,X0,X1)
      | member(sK3(X1,X2,X6),X1)
      | ~ member(X6,X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f97,plain,
    ~ apply(compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5),sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5)),sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),
    inference(unit_resulting_resolution,[],[f93,f86]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ apply(X1,sK2(X0,X1),sK2(X0,X1))
      | identity(X1,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( identity(X1,X0)
      | ( member(sK2(X0,X1),X0)
        & ~ apply(X1,sK2(X0,X1),sK2(X0,X1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( member(X2,X0)
          & ~ apply(X1,X2,X2) )
     => ( member(sK2(X0,X1),X0)
        & ~ apply(X1,sK2(X0,X1),sK2(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( identity(X1,X0)
      | ? [X2] :
          ( member(X2,X0)
          & ~ apply(X1,X2,X2) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( member(X2,X0)
         => apply(X1,X2,X2) )
     => identity(X1,X0) ),
    inference(unused_predicate_definition_removal,[],[f32]) ).

fof(f32,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( member(X2,X0)
         => apply(X1,X2,X2) )
    <=> identity(X1,X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X5] :
      ( ! [X2] :
          ( member(X2,X0)
         => apply(X5,X2,X2) )
    <=> identity(X5,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

fof(f93,plain,
    ~ identity(compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5),sK5),
    inference(cnf_transformation,[],[f74]) ).

fof(f96,plain,
    member(sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5)),sK5),
    inference(unit_resulting_resolution,[],[f93,f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X0)
      | identity(X1,X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f105,plain,
    apply(inverse_function(sK6,sK5,sK4),sK3(sK4,sK6,sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),sK2(sK5,compose_function(inverse_function(sK6,sK5,sK4),sK6,sK5,sK4,sK5))),
    inference(unit_resulting_resolution,[],[f96,f98,f99,f78]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1,X4] :
      ( apply(inverse_function(X0,X3,X1),X4,X2)
      | ~ member(X2,X3)
      | ~ member(X4,X1)
      | ~ apply(X0,X2,X4) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ member(X4,X1)
      | ~ member(X2,X3)
      | ( ( apply(X0,X2,X4)
          | ~ apply(inverse_function(X0,X3,X1),X4,X2) )
        & ( apply(inverse_function(X0,X3,X1),X4,X2)
          | ~ apply(X0,X2,X4) ) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X2,X0,X3,X4] :
      ( ~ member(X4,X2)
      | ~ member(X0,X3)
      | ( ( apply(X1,X0,X4)
          | ~ apply(inverse_function(X1,X3,X2),X4,X0) )
        & ( apply(inverse_function(X1,X3,X2),X4,X0)
          | ~ apply(X1,X0,X4) ) ) ),
    inference(nnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X1,X2,X0,X3,X4] :
      ( ~ member(X4,X2)
      | ~ member(X0,X3)
      | ( apply(X1,X0,X4)
      <=> apply(inverse_function(X1,X3,X2),X4,X0) ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X4,X1,X0,X3,X2] :
      ( ( apply(X1,X0,X4)
      <=> apply(inverse_function(X1,X3,X2),X4,X0) )
      | ~ member(X0,X3)
      | ~ member(X4,X2) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X4,X1,X0,X3,X2] :
      ( ( member(X0,X3)
        & member(X4,X2) )
     => ( apply(X1,X0,X4)
      <=> apply(inverse_function(X1,X3,X2),X4,X0) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X2,X5,X1,X0,X4] :
      ( ( member(X2,X0)
        & member(X4,X1) )
     => ( apply(X5,X2,X4)
      <=> apply(inverse_function(X5,X0,X1),X4,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_function) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET714+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:15:33 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (2989)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (3006)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52  % (2989)Refutation not found, incomplete strategy% (2989)------------------------------
% 0.20/0.52  % (2989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2998)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.52  % (2989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2989)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52  
% 0.20/0.52  % (2989)Memory used [KB]: 6012
% 0.20/0.52  % (2989)Time elapsed: 0.109 s
% 0.20/0.52  % (2989)Instructions burned: 3 (million)
% 0.20/0.52  % (2989)------------------------------
% 0.20/0.52  % (2989)------------------------------
% 0.20/0.52  % (2999)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52  % (3006)Instruction limit reached!
% 0.20/0.52  % (3006)------------------------------
% 0.20/0.52  % (3006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (3006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (3006)Termination reason: Unknown
% 0.20/0.52  % (3006)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (3006)Memory used [KB]: 1535
% 0.20/0.52  % (3006)Time elapsed: 0.004 s
% 0.20/0.52  % (3006)Instructions burned: 3 (million)
% 0.20/0.52  % (3006)------------------------------
% 0.20/0.52  % (3006)------------------------------
% 0.20/0.52  % (2991)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (3012)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53  % (3007)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (2998)First to succeed.
% 0.20/0.53  % (3000)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (2993)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53  % (3007)Instruction limit reached!
% 0.20/0.53  % (3007)------------------------------
% 0.20/0.53  % (3007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (3007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (3007)Termination reason: Unknown
% 0.20/0.53  % (3007)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (3007)Memory used [KB]: 1535
% 0.20/0.53  % (3007)Time elapsed: 0.002 s
% 0.20/0.53  % (3007)Instructions burned: 2 (million)
% 0.20/0.53  % (3007)------------------------------
% 0.20/0.53  % (3007)------------------------------
% 0.20/0.53  % (3015)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (2998)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Theorem for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (2998)------------------------------
% 0.20/0.53  % (2998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (2998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (2998)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (2998)Memory used [KB]: 6012
% 0.20/0.53  % (2998)Time elapsed: 0.126 s
% 0.20/0.53  % (2998)Instructions burned: 4 (million)
% 0.20/0.53  % (2998)------------------------------
% 0.20/0.53  % (2998)------------------------------
% 0.20/0.53  % (2985)Success in time 0.172 s
%------------------------------------------------------------------------------